TSTP Solution File: GRA009+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRA009+1 : TPTP v8.2.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:37:09 EDT 2024
% Result : Theorem 4.37s 1.03s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 154 ( 27 unt; 0 def)
% Number of atoms : 506 ( 117 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 599 ( 247 ~; 227 |; 80 &)
% ( 20 <=>; 21 =>; 0 <=; 4 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 247 ( 226 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f576,plain,
$false,
inference(avatar_sat_refutation,[],[f226,f350,f491,f542,f551,f572,f575]) ).
fof(f575,plain,
( ~ spl28_1
| ~ spl28_2 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f574,plain,
( $false
| ~ spl28_1
| ~ spl28_2 ),
inference(subsumption_resolution,[],[f573,f127]) ).
fof(f127,plain,
head_of(sK3) != tail_of(sK3),
inference(unit_resulting_resolution,[],[f121,f69]) ).
fof(f69,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( head_of(X0) != tail_of(X0)
| ~ edge(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( edge(X0)
=> head_of(X0) != tail_of(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f121,plain,
edge(sK3),
inference(unit_resulting_resolution,[],[f46,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( sequential(X0,X1)
<=> ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] :
( sequential(X6,X7)
<=> ( head_of(X6) = tail_of(X7)
& X6 != X7
& edge(X7)
& edge(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f46,plain,
sequential(sK3,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& sequential(X3,X4)
& on_path(X4,X2)
& on_path(X3,X2)
& shortest_path(X0,X1,X2) )
& complete ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& sequential(X3,X4)
& on_path(X4,X2)
& on_path(X3,X2)
& shortest_path(X0,X1,X2) )
& complete ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ( complete
=> ! [X0,X1,X2,X3,X4] :
( ( sequential(X3,X4)
& on_path(X4,X2)
& on_path(X3,X2)
& shortest_path(X0,X1,X2) )
=> ? [X5] : triangle(X3,X4,X5) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( complete
=> ! [X1,X2,X3,X6,X7] :
( ( sequential(X6,X7)
& on_path(X7,X3)
& on_path(X6,X3)
& shortest_path(X1,X2,X3) )
=> ? [X8] : triangle(X6,X7,X8) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( complete
=> ! [X1,X2,X3,X6,X7] :
( ( sequential(X6,X7)
& on_path(X7,X3)
& on_path(X6,X3)
& shortest_path(X1,X2,X3) )
=> ? [X8] : triangle(X6,X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f573,plain,
( head_of(sK3) = tail_of(sK3)
| ~ spl28_1
| ~ spl28_2 ),
inference(forward_demodulation,[],[f220,f225]) ).
fof(f225,plain,
( sK3 = sK4
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl28_2
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f220,plain,
( tail_of(sK3) = head_of(sK4)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl28_1
<=> tail_of(sK3) = head_of(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f572,plain,
( spl28_1
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f571,plain,
( $false
| spl28_1
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f570,f136]) ).
fof(f136,plain,
head_of(sK3) != head_of(sK4),
inference(forward_demodulation,[],[f131,f123]) ).
fof(f123,plain,
head_of(sK3) = tail_of(sK4),
inference(unit_resulting_resolution,[],[f46,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| head_of(X0) = tail_of(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f131,plain,
tail_of(sK4) != head_of(sK4),
inference(unit_resulting_resolution,[],[f122,f69]) ).
fof(f122,plain,
edge(sK4),
inference(unit_resulting_resolution,[],[f46,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f570,plain,
( head_of(sK3) = head_of(sK4)
| spl28_1
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f569,f48]) ).
fof(f48,plain,
complete,
inference(cnf_transformation,[],[f30]) ).
fof(f569,plain,
( ~ complete
| head_of(sK3) = head_of(sK4)
| spl28_1
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f568,f221]) ).
fof(f221,plain,
( tail_of(sK3) != head_of(sK4)
| spl28_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f568,plain,
( tail_of(sK3) = head_of(sK4)
| ~ complete
| head_of(sK3) = head_of(sK4)
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f567,f129]) ).
fof(f129,plain,
vertex(tail_of(sK3)),
inference(unit_resulting_resolution,[],[f121,f71]) ).
fof(f71,plain,
! [X0] :
( vertex(tail_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( vertex(tail_of(X0))
& vertex(head_of(X0)) )
| ~ edge(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( edge(X0)
=> ( vertex(tail_of(X0))
& vertex(head_of(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f567,plain,
( ~ vertex(tail_of(sK3))
| tail_of(sK3) = head_of(sK4)
| ~ complete
| head_of(sK3) = head_of(sK4)
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f566,f132]) ).
fof(f132,plain,
vertex(head_of(sK4)),
inference(unit_resulting_resolution,[],[f122,f70]) ).
fof(f70,plain,
! [X0] :
( vertex(head_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f566,plain,
( ~ vertex(head_of(sK4))
| ~ vertex(tail_of(sK3))
| tail_of(sK3) = head_of(sK4)
| ~ complete
| head_of(sK3) = head_of(sK4)
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f561,f208]) ).
fof(f208,plain,
! [X0] : ~ sP6(sK3,tail_of(sK3),X0),
inference(unit_resulting_resolution,[],[f127,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ sP6(X2,X1,X0)
| head_of(X2) = X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ! [X0,X1] :
( ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
( ! [X0,X1] :
( ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
( complete
=> ! [X0,X1] :
( ( X0 != X1
& vertex(X1)
& vertex(X0) )
=> ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( complete
=> ! [X1,X2] :
( ( X1 != X2
& vertex(X2)
& vertex(X1) )
=> ? [X0] :
( ( ( tail_of(X0) = X2
& head_of(X0) = X1 )
<~> ( tail_of(X0) = X1
& head_of(X0) = X2 ) )
& edge(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f561,plain,
( sP6(sK3,tail_of(sK3),head_of(sK4))
| ~ vertex(head_of(sK4))
| ~ vertex(tail_of(sK3))
| tail_of(sK3) = head_of(sK4)
| ~ complete
| head_of(sK3) = head_of(sK4)
| ~ spl28_17 ),
inference(superposition,[],[f53,f345]) ).
fof(f345,plain,
( sK3 = sK5(head_of(sK4),tail_of(sK3))
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl28_17
<=> sK3 = sK5(head_of(sK4),tail_of(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
fof(f53,plain,
! [X0,X1] :
( sP6(sK5(X0,X1),X1,X0)
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete
| head_of(sK5(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f551,plain,
( ~ spl28_15
| ~ spl28_16 ),
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f550,plain,
( $false
| ~ spl28_15
| ~ spl28_16 ),
inference(subsumption_resolution,[],[f549,f136]) ).
fof(f549,plain,
( head_of(sK3) = head_of(sK4)
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_demodulation,[],[f548,f123]) ).
fof(f548,plain,
( tail_of(sK4) = head_of(sK4)
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_demodulation,[],[f336,f341]) ).
fof(f341,plain,
( sK4 = sK5(head_of(sK4),tail_of(sK3))
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl28_16
<=> sK4 = sK5(head_of(sK4),tail_of(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
fof(f336,plain,
( head_of(sK4) = tail_of(sK5(head_of(sK4),tail_of(sK3)))
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl28_15
<=> head_of(sK4) = tail_of(sK5(head_of(sK4),tail_of(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f542,plain,
( spl28_1
| spl28_15 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| spl28_1
| spl28_15 ),
inference(subsumption_resolution,[],[f535,f518]) ).
fof(f518,plain,
( tail_of(sK3) = tail_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1
| spl28_15 ),
inference(unit_resulting_resolution,[],[f48,f132,f129,f221,f511,f54]) ).
fof(f54,plain,
! [X0,X1] :
( sP6(sK5(X0,X1),X1,X0)
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete
| tail_of(sK5(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f511,plain,
( ! [X0] : ~ sP6(sK5(head_of(sK4),tail_of(sK3)),X0,head_of(sK4))
| spl28_15 ),
inference(unit_resulting_resolution,[],[f337,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ sP6(X2,X1,X0)
| tail_of(X2) = X0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f337,plain,
( head_of(sK4) != tail_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_15 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f535,plain,
( tail_of(sK3) != tail_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1
| spl28_15 ),
inference(unit_resulting_resolution,[],[f192,f517,f92]) ).
fof(f92,plain,
! [X2,X3,X5] :
( ~ sP13(X3,X2)
| head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ),
inference(general_splitting,[],[f90,f91_D]) ).
fof(f91,plain,
! [X2,X3,X4] :
( ~ precedes(X2,X3,X4)
| ~ sP12(X4)
| sP13(X3,X2) ),
inference(cnf_transformation,[],[f91_D]) ).
fof(f91_D,plain,
! [X2,X3] :
( ! [X4] :
( ~ precedes(X2,X3,X4)
| ~ sP12(X4) )
<=> ~ sP13(X3,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).
fof(f90,plain,
! [X2,X3,X4,X5] :
( ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3)
| ~ sP12(X4) ),
inference(general_splitting,[],[f88,f89_D]) ).
fof(f89,plain,
! [X1,X4] :
( ~ sP11(X4,X1)
| sP12(X4) ),
inference(cnf_transformation,[],[f89_D]) ).
fof(f89_D,plain,
! [X4] :
( ! [X1] : ~ sP11(X4,X1)
<=> ~ sP12(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f88,plain,
! [X2,X3,X1,X4,X5] :
( ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3)
| ~ sP11(X4,X1) ),
inference(general_splitting,[],[f61,f87_D]) ).
fof(f87,plain,
! [X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| sP11(X4,X1) ),
inference(cnf_transformation,[],[f87_D]) ).
fof(f87_D,plain,
! [X1,X4] :
( ! [X0] : ~ shortest_path(X0,X1,X4)
<=> ~ sP11(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ( precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( ~ precedes(X3,X2,X4)
& ~ ? [X5] :
( head_of(X5) = head_of(X3)
& tail_of(X2) = tail_of(X5) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ( ~ precedes(X7,X6,X3)
& ~ ? [X8] :
( head_of(X8) = head_of(X7)
& tail_of(X8) = tail_of(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f517,plain,
( head_of(sK4) = head_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1
| spl28_15 ),
inference(unit_resulting_resolution,[],[f48,f132,f129,f221,f511,f53]) ).
fof(f192,plain,
sP13(sK4,sK3),
inference(unit_resulting_resolution,[],[f146,f170,f91]) ).
fof(f170,plain,
precedes(sK3,sK4,sK2),
inference(unit_resulting_resolution,[],[f46,f44,f45,f168,f96]) ).
fof(f96,plain,
! [X3,X0,X4] :
( precedes(X3,X4,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| ~ on_path(X3,X0)
| ~ sP15(X0) ),
inference(general_splitting,[],[f94,f95_D]) ).
fof(f95,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| sP15(X0) ),
inference(cnf_transformation,[],[f95_D]) ).
fof(f95_D,plain,
! [X0] :
( ! [X1] : ~ sP14(X0,X1)
<=> ~ sP15(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).
fof(f94,plain,
! [X3,X0,X1,X4] :
( ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| precedes(X3,X4,X0)
| ~ sP14(X0,X1) ),
inference(general_splitting,[],[f73,f93_D]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sP14(X0,X1) ),
inference(cnf_transformation,[],[f93_D]) ).
fof(f93_D,plain,
! [X1,X0] :
( ! [X2] : ~ path(X1,X2,X0)
<=> ~ sP14(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( ~ path(X1,X2,X0)
| ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| precedes(X3,X4,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
& ~ sequential(X3,X4) )
| ~ on_path(X4,X0)
| ~ on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
& ~ sequential(X3,X4) )
| ~ on_path(X4,X0)
| ~ on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( ( ( ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
=> precedes(X3,X4,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X6,X7] :
( ( ( ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) )
| sequential(X6,X7) )
& on_path(X7,X3)
& on_path(X6,X3) )
=> precedes(X6,X7,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f168,plain,
sP15(sK2),
inference(unit_resulting_resolution,[],[f154,f95]) ).
fof(f154,plain,
sP14(sK2,sK0),
inference(unit_resulting_resolution,[],[f138,f93]) ).
fof(f138,plain,
path(sK0,sK1,sK2),
inference(unit_resulting_resolution,[],[f43,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X1,X2)
| path(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( ! [X3] :
( path(X0,X1,X3)
=> less_or_equal(length_of(X2),length_of(X3)) )
& X0 != X1
& path(X0,X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X9] :
( shortest_path(X1,X2,X9)
<=> ( ! [X3] :
( path(X1,X2,X3)
=> less_or_equal(length_of(X9),length_of(X3)) )
& X1 != X2
& path(X1,X2,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f43,plain,
shortest_path(sK0,sK1,sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f45,plain,
on_path(sK4,sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
on_path(sK3,sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f146,plain,
sP12(sK2),
inference(unit_resulting_resolution,[],[f140,f89]) ).
fof(f140,plain,
sP11(sK2,sK1),
inference(unit_resulting_resolution,[],[f43,f87]) ).
fof(f491,plain,
( spl28_1
| spl28_18 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| spl28_1
| spl28_18 ),
inference(subsumption_resolution,[],[f484,f480]) ).
fof(f480,plain,
( tail_of(sK3) = tail_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1
| spl28_18 ),
inference(unit_resulting_resolution,[],[f48,f132,f129,f221,f469,f54]) ).
fof(f469,plain,
( ! [X0] : ~ sP6(sK5(head_of(sK4),tail_of(sK3)),tail_of(sK3),X0)
| spl28_18 ),
inference(unit_resulting_resolution,[],[f349,f50]) ).
fof(f349,plain,
( tail_of(sK3) != head_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_18 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl28_18
<=> tail_of(sK3) = head_of(sK5(head_of(sK4),tail_of(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_18])]) ).
fof(f484,plain,
( tail_of(sK3) != tail_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1
| spl28_18 ),
inference(unit_resulting_resolution,[],[f192,f479,f92]) ).
fof(f479,plain,
( head_of(sK4) = head_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1
| spl28_18 ),
inference(unit_resulting_resolution,[],[f48,f132,f129,f221,f469,f53]) ).
fof(f350,plain,
( ~ spl28_15
| spl28_16
| spl28_17
| ~ spl28_18
| spl28_1 ),
inference(avatar_split_clause,[],[f277,f219,f347,f343,f339,f335]) ).
fof(f277,plain,
( tail_of(sK3) != head_of(sK5(head_of(sK4),tail_of(sK3)))
| sK3 = sK5(head_of(sK4),tail_of(sK3))
| sK4 = sK5(head_of(sK4),tail_of(sK3))
| head_of(sK4) != tail_of(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1 ),
inference(resolution,[],[f270,f239]) ).
fof(f239,plain,
( edge(sK5(head_of(sK4),tail_of(sK3)))
| spl28_1 ),
inference(unit_resulting_resolution,[],[f48,f132,f129,f221,f55]) ).
fof(f55,plain,
! [X0,X1] :
( edge(sK5(X0,X1))
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete ),
inference(cnf_transformation,[],[f32]) ).
fof(f270,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(sK3)
| sK3 = X0
| sK4 = X0
| tail_of(X0) != head_of(sK4) ),
inference(subsumption_resolution,[],[f269,f122]) ).
fof(f269,plain,
! [X0] :
( sK3 = X0
| head_of(X0) != tail_of(sK3)
| ~ edge(X0)
| sK4 = X0
| tail_of(X0) != head_of(sK4)
| ~ edge(sK4) ),
inference(resolution,[],[f181,f60]) ).
fof(f60,plain,
! [X0,X1] :
( sequential(X0,X1)
| ~ edge(X1)
| X0 = X1
| head_of(X0) != tail_of(X1)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f181,plain,
! [X0] :
( ~ sequential(sK4,X0)
| sK3 = X0
| head_of(X0) != tail_of(sK3) ),
inference(subsumption_resolution,[],[f180,f57]) ).
fof(f180,plain,
! [X0] :
( ~ sequential(sK4,X0)
| sK3 = X0
| head_of(X0) != tail_of(sK3)
| ~ edge(X0) ),
inference(subsumption_resolution,[],[f179,f121]) ).
fof(f179,plain,
! [X0] :
( ~ sequential(sK4,X0)
| ~ edge(sK3)
| sK3 = X0
| head_of(X0) != tail_of(sK3)
| ~ edge(X0) ),
inference(resolution,[],[f152,f60]) ).
fof(f152,plain,
! [X0] :
( ~ sequential(X0,sK3)
| ~ sequential(sK4,X0) ),
inference(subsumption_resolution,[],[f151,f57]) ).
fof(f151,plain,
! [X0] :
( ~ edge(X0)
| ~ sequential(sK4,X0)
| ~ sequential(X0,sK3) ),
inference(subsumption_resolution,[],[f150,f121]) ).
fof(f150,plain,
! [X0] :
( ~ edge(X0)
| ~ sequential(sK4,X0)
| ~ sequential(X0,sK3)
| ~ edge(sK3) ),
inference(subsumption_resolution,[],[f149,f46]) ).
fof(f149,plain,
! [X0] :
( ~ edge(X0)
| ~ sequential(sK3,sK4)
| ~ sequential(sK4,X0)
| ~ sequential(X0,sK3)
| ~ edge(sK3) ),
inference(subsumption_resolution,[],[f148,f122]) ).
fof(f148,plain,
! [X0] :
( ~ edge(sK4)
| ~ edge(X0)
| ~ sequential(sK3,sK4)
| ~ sequential(sK4,X0)
| ~ sequential(X0,sK3)
| ~ edge(sK3) ),
inference(resolution,[],[f47,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ edge(X1)
| ~ edge(X2)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X2)
| ~ edge(X1)
| ~ edge(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X2)
| ~ edge(X1)
| ~ edge(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( sequential(X2,X0)
& sequential(X1,X2)
& sequential(X0,X1)
& edge(X2)
& edge(X1)
& edge(X0) )
=> triangle(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
<=> ( sequential(X2,X0)
& sequential(X1,X2)
& sequential(X0,X1)
& edge(X2)
& edge(X1)
& edge(X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X6,X7,X8] :
( triangle(X6,X7,X8)
<=> ( sequential(X8,X6)
& sequential(X7,X8)
& sequential(X6,X7)
& edge(X8)
& edge(X7)
& edge(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f47,plain,
! [X5] : ~ triangle(sK3,sK4,X5),
inference(cnf_transformation,[],[f30]) ).
fof(f226,plain,
( ~ spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f217,f223,f219]) ).
fof(f217,plain,
( sK3 = sK4
| tail_of(sK3) != head_of(sK4) ),
inference(subsumption_resolution,[],[f216,f122]) ).
fof(f216,plain,
( sK3 = sK4
| tail_of(sK3) != head_of(sK4)
| ~ edge(sK4) ),
inference(subsumption_resolution,[],[f215,f121]) ).
fof(f215,plain,
( ~ edge(sK3)
| sK3 = sK4
| tail_of(sK3) != head_of(sK4)
| ~ edge(sK4) ),
inference(resolution,[],[f213,f60]) ).
fof(f213,plain,
~ sequential(sK4,sK3),
inference(unit_resulting_resolution,[],[f168,f45,f44,f191,f96]) ).
fof(f191,plain,
~ precedes(sK4,sK3,sK2),
inference(unit_resulting_resolution,[],[f145,f170,f83]) ).
fof(f83,plain,
! [X2,X3,X4] :
( ~ precedes(X3,X2,X4)
| ~ precedes(X2,X3,X4)
| sP9(X4,X3) ),
inference(cnf_transformation,[],[f83_D]) ).
fof(f83_D,plain,
! [X3,X4] :
( ! [X2] :
( ~ precedes(X3,X2,X4)
| ~ precedes(X2,X3,X4) )
<=> ~ sP9(X4,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f145,plain,
! [X0] : ~ sP9(sK2,X0),
inference(unit_resulting_resolution,[],[f139,f85]) ).
fof(f85,plain,
! [X3,X4] :
( ~ sP9(X4,X3)
| sP10(X4) ),
inference(cnf_transformation,[],[f85_D]) ).
fof(f85_D,plain,
! [X4] :
( ! [X3] : ~ sP9(X4,X3)
<=> ~ sP10(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f139,plain,
~ sP10(sK2),
inference(unit_resulting_resolution,[],[f43,f86]) ).
fof(f86,plain,
! [X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ sP10(X4) ),
inference(general_splitting,[],[f84,f85_D]) ).
fof(f84,plain,
! [X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ sP9(X4,X3) ),
inference(general_splitting,[],[f62,f83_D]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4)
| ~ precedes(X3,X2,X4) ),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRA009+1 : TPTP v8.2.0. Bugfixed v3.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jun 18 15:02:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 Running first-order theorem proving
% 0.13/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.40 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (2712)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.22/0.42 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2714)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.22/0.42 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2713)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.22/0.42 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2718)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.22/0.42 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2715)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.42 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2716)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.22/0.42 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2717)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.22/0.47 % (2717)Instruction limit reached!
% 0.22/0.47 % (2717)------------------------------
% 0.22/0.47 % (2717)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47 % (2717)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47 % (2717)Termination reason: Time limit
% 0.22/0.47 % (2717)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (2717)Memory used [KB]: 2788
% 0.22/0.47 % (2717)Time elapsed: 0.056 s
% 0.22/0.47 % (2717)Instructions burned: 115 (million)
% 0.22/0.48 % (2715)Instruction limit reached!
% 0.22/0.48 % (2715)------------------------------
% 0.22/0.48 % (2715)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (2715)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (2715)Termination reason: Time limit
% 0.22/0.48 % (2715)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (2715)Memory used [KB]: 3070
% 0.22/0.48 % (2715)Time elapsed: 0.062 s
% 0.22/0.48 % (2715)Instructions burned: 105 (million)
% 0.22/0.49 % (2718)Instruction limit reached!
% 0.22/0.49 % (2718)------------------------------
% 0.22/0.49 % (2718)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (2718)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (2718)Termination reason: Time limit
% 0.22/0.49 % (2718)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (2718)Memory used [KB]: 1711
% 0.22/0.49 % (2718)Time elapsed: 0.069 s
% 0.22/0.49 % (2718)Instructions burned: 130 (million)
% 0.22/0.49 % (2716)Instruction limit reached!
% 0.22/0.49 % (2716)------------------------------
% 0.22/0.49 % (2716)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (2716)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (2716)Termination reason: Time limit
% 0.22/0.49 % (2716)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (2716)Memory used [KB]: 1870
% 0.22/0.49 % (2716)Time elapsed: 0.073 s
% 0.22/0.49 % (2716)Instructions burned: 123 (million)
% 0.22/0.51 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (2738)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2998ds/123Mi)
% 0.22/0.52 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (2742)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2998ds/205Mi)
% 0.22/0.52 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (2745)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 0.22/0.53 % (2711)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53 % (2748)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 1.34/0.54 % (2738)Instruction limit reached!
% 1.34/0.54 % (2738)------------------------------
% 1.34/0.54 % (2738)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.54 % (2738)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.54 % (2738)Termination reason: Time limit
% 1.34/0.54 % (2738)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (2738)Memory used [KB]: 1499
% 1.34/0.54 % (2738)Time elapsed: 0.036 s
% 1.34/0.54 % (2738)Instructions burned: 123 (million)
% 1.50/0.57 % (2748)Instruction limit reached!
% 1.50/0.57 % (2748)------------------------------
% 1.50/0.57 % (2748)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.57 % (2748)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.57 % (2748)Termination reason: Time limit
% 1.50/0.57 % (2748)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (2748)Memory used [KB]: 3569
% 1.50/0.57 % (2748)Time elapsed: 0.048 s
% 1.50/0.57 % (2748)Instructions burned: 143 (million)
% 1.50/0.58 % (2711)Running in auto input_syntax mode. Trying TPTP
% 1.50/0.58 % (2770)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2998ds/113Mi)
% 1.50/0.59 % (2745)Instruction limit reached!
% 1.50/0.59 % (2745)------------------------------
% 1.50/0.59 % (2745)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.59 % (2745)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.59 % (2745)Termination reason: Time limit
% 1.50/0.59 % (2745)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (2745)Memory used [KB]: 2742
% 1.50/0.59 % (2745)Time elapsed: 0.065 s
% 1.50/0.59 % (2745)Instructions burned: 180 (million)
% 1.50/0.59 % (2742)Instruction limit reached!
% 1.50/0.59 % (2742)------------------------------
% 1.50/0.59 % (2742)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.59 % (2742)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.59 % (2742)Termination reason: Time limit
% 1.50/0.59 % (2742)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (2742)Memory used [KB]: 2442
% 1.50/0.59 % (2742)Time elapsed: 0.069 s
% 1.50/0.59 % (2742)Instructions burned: 206 (million)
% 1.50/0.61 % (2711)Running in auto input_syntax mode. Trying TPTP
% 1.50/0.61 % (2784)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2997ds/113Mi)
% 1.50/0.61 % (2770)Instruction limit reached!
% 1.50/0.61 % (2770)------------------------------
% 1.50/0.61 % (2770)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.61 % (2770)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.61 % (2770)Termination reason: Time limit
% 1.50/0.61 % (2770)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (2770)Memory used [KB]: 1637
% 1.50/0.61 % (2770)Time elapsed: 0.033 s
% 1.50/0.61 % (2770)Instructions burned: 116 (million)
% 1.50/0.62 % (2711)Running in auto input_syntax mode. Trying TPTP
% 1.50/0.62 % (2788)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2997ds/114Mi)
% 1.50/0.62 % (2711)Running in auto input_syntax mode. Trying TPTP
% 1.50/0.62 % (2789)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2997ds/253Mi)
% 1.92/0.64 % (2711)Running in auto input_syntax mode. Trying TPTP
% 1.92/0.64 % (2808)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=150:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2997ds/150Mi)
% 1.92/0.65 % (2784)Instruction limit reached!
% 1.92/0.65 % (2784)------------------------------
% 1.92/0.65 % (2784)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.92/0.65 % (2784)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.92/0.65 % (2784)Termination reason: Time limit
% 1.92/0.65 % (2784)Termination phase: Saturation
% 1.92/0.65
% 1.92/0.65 % (2784)Memory used [KB]: 1907
% 1.92/0.65 % (2784)Time elapsed: 0.039 s
% 1.92/0.65 % (2784)Instructions burned: 113 (million)
% 1.92/0.66 % (2788)Instruction limit reached!
% 1.92/0.66 % (2788)------------------------------
% 1.92/0.66 % (2788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.92/0.66 % (2788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.92/0.66 % (2788)Termination reason: Time limit
% 1.92/0.66 % (2788)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (2788)Memory used [KB]: 2121
% 1.92/0.66 % (2788)Time elapsed: 0.041 s
% 1.92/0.66 % (2788)Instructions burned: 114 (million)
% 2.19/0.68 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.68 % (2835)lrs+1010_1:1_tgt=ground:fde=unused:sp=const_frequency:nwc=5.0:sac=on:avsq=on:i=196:avsqr=1,8:fsd=on:sil=64000:gs=on:rnwc=on_0 on theBenchmark for (2997ds/196Mi)
% 2.19/0.69 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.69 % (2848)lrs+1002_1:1_sil=4000:i=107:sd=2:ep=RS:av=off:ss=axioms:sos=on:erd=off_0 on theBenchmark for (2997ds/107Mi)
% 2.19/0.69 % (2789)Instruction limit reached!
% 2.19/0.69 % (2789)------------------------------
% 2.19/0.69 % (2789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/0.69 % (2789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/0.69 % (2789)Termination reason: Time limit
% 2.19/0.69 % (2789)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (2789)Memory used [KB]: 1814
% 2.19/0.69 % (2789)Time elapsed: 0.075 s
% 2.19/0.69 % (2789)Instructions burned: 255 (million)
% 2.19/0.69 % (2848)Refutation not found, incomplete strategy% (2848)------------------------------
% 2.19/0.69 % (2848)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/0.69 % (2848)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/0.69 % (2848)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.69
% 2.19/0.69 % (2848)Memory used [KB]: 1158
% 2.19/0.69 % (2848)Time elapsed: 0.002 s
% 2.19/0.69 % (2848)Instructions burned: 2 (million)
% 2.19/0.69 % (2848)------------------------------
% 2.19/0.69 % (2848)------------------------------
% 2.19/0.70 % (2808)Instruction limit reached!
% 2.19/0.70 % (2808)------------------------------
% 2.19/0.70 % (2808)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/0.70 % (2808)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/0.70 % (2808)Termination reason: Time limit
% 2.19/0.70 % (2808)Termination phase: Saturation
% 2.19/0.70
% 2.19/0.70 % (2808)Memory used [KB]: 2702
% 2.19/0.70 % (2808)Time elapsed: 0.052 s
% 2.19/0.70 % (2808)Instructions burned: 151 (million)
% 2.19/0.73 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.73 % (2867)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=147:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2996ds/147Mi)
% 2.19/0.73 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.73 % (2868)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=116:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2996ds/116Mi)
% 2.19/0.73 % (2868)Refutation not found, incomplete strategy% (2868)------------------------------
% 2.19/0.73 % (2868)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/0.73 % (2868)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/0.73 % (2868)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.73
% 2.19/0.73 % (2868)Memory used [KB]: 1149
% 2.19/0.73 % (2868)Time elapsed: 0.002 s
% 2.19/0.73 % (2868)Instructions burned: 4 (million)
% 2.19/0.73 % (2868)------------------------------
% 2.19/0.73 % (2868)------------------------------
% 2.66/0.74 % (2835)Instruction limit reached!
% 2.66/0.74 % (2835)------------------------------
% 2.66/0.74 % (2835)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.74 % (2835)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.74 % (2835)Termination reason: Time limit
% 2.66/0.74 % (2835)Termination phase: Saturation
% 2.66/0.74
% 2.66/0.74 % (2835)Memory used [KB]: 2076
% 2.66/0.74 % (2835)Time elapsed: 0.066 s
% 2.66/0.74 % (2835)Instructions burned: 197 (million)
% 2.66/0.75 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.75 % (2866)lrs+10_1:1024_sil=2000:st=2.0:i=107:sd=2:ss=included:ep=R_0 on theBenchmark for (2996ds/107Mi)
% 2.81/0.77 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.81/0.77 % (2884)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=304:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2996ds/304Mi)
% 2.81/0.78 % (2867)Instruction limit reached!
% 2.81/0.78 % (2867)------------------------------
% 2.81/0.78 % (2867)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.81/0.78 % (2867)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.81/0.78 % (2867)Termination reason: Time limit
% 2.81/0.78 % (2867)Termination phase: Saturation
% 2.81/0.78
% 2.81/0.78 % (2867)Memory used [KB]: 2183
% 2.81/0.78 % (2867)Time elapsed: 0.051 s
% 2.81/0.78 % (2867)Instructions burned: 147 (million)
% 2.81/0.78 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.81/0.78 % (2888)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=135:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2996ds/135Mi)
% 2.81/0.81 % (2866)Instruction limit reached!
% 2.81/0.81 % (2866)------------------------------
% 2.81/0.81 % (2866)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.81/0.81 % (2866)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.81/0.81 % (2866)Termination reason: Time limit
% 2.81/0.81 % (2866)Termination phase: Saturation
% 2.81/0.81
% 2.81/0.81 % (2866)Memory used [KB]: 2076
% 2.81/0.81 % (2866)Time elapsed: 0.060 s
% 2.81/0.81 % (2866)Instructions burned: 107 (million)
% 2.81/0.81 % (2711)Running in auto input_syntax mode. Trying TPTP
% 2.81/0.81 WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 2.81/0.81 % (2896)dis+1010_1:1_sil=2000:urr=on:lcm=predicate:i=261:ile=on:gs=on:br=off_0 on theBenchmark for (2995ds/261Mi)
% 3.19/0.82 % (2888)Instruction limit reached!
% 3.19/0.82 % (2888)------------------------------
% 3.19/0.82 % (2888)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.19/0.82 % (2888)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.19/0.82 % (2888)Termination reason: Time limit
% 3.19/0.82 % (2888)Termination phase: Saturation
% 3.19/0.82
% 3.19/0.82 % (2888)Memory used [KB]: 1987
% 3.19/0.82 % (2888)Time elapsed: 0.048 s
% 3.19/0.82 % (2888)Instructions burned: 136 (million)
% 3.19/0.85 % (2711)Running in auto input_syntax mode. Trying TPTP
% 3.19/0.85 % (2903)lrs+21_1:1_to=lpo:sil=2000:sp=const_min:st=3.0:i=109:sd=1:erml=4:ss=axioms:er=filter:alpa=true:amm=sco:bd=off_0 on theBenchmark for (2995ds/109Mi)
% 3.39/0.86 % (2711)Running in auto input_syntax mode. Trying TPTP
% 3.39/0.86 % (2909)dis+1011_5:1_sil=2000:fde=unused:nwc=10.0:i=118:ep=R:fs=off:fsr=off:awrs=converge_0 on theBenchmark for (2995ds/118Mi)
% 3.39/0.86 % (2884)Instruction limit reached!
% 3.39/0.86 % (2884)------------------------------
% 3.39/0.86 % (2884)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.39/0.86 % (2884)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.39/0.86 % (2884)Termination reason: Time limit
% 3.39/0.86 % (2884)Termination phase: Saturation
% 3.39/0.86
% 3.39/0.86 % (2884)Memory used [KB]: 3448
% 3.39/0.86 % (2884)Time elapsed: 0.098 s
% 3.39/0.86 % (2884)Instructions burned: 306 (million)
% 3.39/0.89 % (2903)Instruction limit reached!
% 3.39/0.89 % (2903)------------------------------
% 3.39/0.89 % (2903)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.39/0.89 % (2903)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.39/0.89 % (2903)Termination reason: Time limit
% 3.39/0.89 % (2903)Termination phase: Saturation
% 3.39/0.89
% 3.39/0.89 % (2903)Memory used [KB]: 2333
% 3.39/0.89 % (2903)Time elapsed: 0.043 s
% 3.39/0.89 % (2903)Instructions burned: 110 (million)
% 3.39/0.89 % (2711)Running in auto input_syntax mode. Trying TPTP
% 3.39/0.89 % (2918)lrs-21_1:1_sil=4000:sos=on:lcm=predicate:i=109:sd=2:ss=axioms_0 on theBenchmark for (2995ds/109Mi)
% 3.39/0.90 % (2896)Instruction limit reached!
% 3.39/0.90 % (2896)------------------------------
% 3.39/0.90 % (2896)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.39/0.90 % (2896)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.39/0.90 % (2896)Termination reason: Time limit
% 3.39/0.90 % (2896)Termination phase: Saturation
% 3.39/0.90
% 3.39/0.90 % (2896)Memory used [KB]: 3088
% 3.39/0.90 % (2896)Time elapsed: 0.088 s
% 3.39/0.90 % (2896)Instructions burned: 261 (million)
% 3.39/0.90 % (2909)Instruction limit reached!
% 3.39/0.90 % (2909)------------------------------
% 3.39/0.90 % (2909)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.39/0.90 % (2909)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.39/0.90 % (2909)Termination reason: Time limit
% 3.39/0.90 % (2909)Termination phase: Saturation
% 3.39/0.90
% 3.39/0.90 % (2909)Memory used [KB]: 3148
% 3.39/0.90 % (2909)Time elapsed: 0.043 s
% 3.39/0.90 % (2909)Instructions burned: 120 (million)
% 3.39/0.92 % (2711)Running in auto input_syntax mode. Trying TPTP
% 3.39/0.92 % (2920)lrs+32_1:128_drc=off:sil=2000:tgt=ground:flr=on:i=119:fsr=off_0 on theBenchmark for (2994ds/119Mi)
% 3.39/0.93 % (2918)Instruction limit reached!
% 3.39/0.93 % (2918)------------------------------
% 3.39/0.93 % (2918)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.39/0.93 % (2918)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.39/0.93 % (2918)Termination reason: Time limit
% 3.39/0.93 % (2918)Termination phase: Saturation
% 3.39/0.93
% 3.39/0.93 % (2918)Memory used [KB]: 1908
% 3.39/0.93 % (2918)Time elapsed: 0.032 s
% 3.39/0.93 % (2918)Instructions burned: 109 (million)
% 3.39/0.93 % (2711)Running in auto input_syntax mode. Trying TPTP
% 3.39/0.93 % (2927)dis+1002_1:1_sil=2000:sos=on:sac=on:st=5.0:i=213:ss=axioms_0 on theBenchmark for (2994ds/213Mi)
% 3.39/0.93 % (2711)Running in auto input_syntax mode. Trying TPTP
% 3.39/0.93 % (2928)dis+10_78677:524288_anc=all_dependent:sil=4000:irw=on:fde=unused:plsq=on:plsqr=4929279,131072:etr=on:sp=const_max:sos=all:spb=goal_then_units:lcm=predicate:fd=off:nwc=6.051592140664891:i=126:sd=3:kws=inv_arity_squared:afp=40000:bd=off:nm=6:afq=1.82720764930041:ss=axioms:rawr=on:bsr=on:newcnf=on:bs=unit_only:abs=on:ins=4:gsp=on:rnwc=on:awrs=decay:awrsf=179:s2a=on:s2agt=10:s2at=4.0:st=5.0:foolp=on:afr=on_0 on theBenchmark for (2994ds/126Mi)
% 4.07/0.96 % (2711)Running in auto input_syntax mode. Trying TPTP
% 4.07/0.96 % (2929)dis+1011_1:20_sil=2000:tgt=full:fde=unused:sos=on:i=301:kws=inv_arity_squared:aac=none_0 on theBenchmark for (2994ds/301Mi)
% 4.07/0.97 % (2920)Instruction limit reached!
% 4.07/0.97 % (2920)------------------------------
% 4.07/0.97 % (2920)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/0.97 % (2920)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/0.97 % (2920)Termination reason: Time limit
% 4.07/0.97 % (2920)Termination phase: Saturation
% 4.07/0.97
% 4.07/0.97 % (2920)Memory used [KB]: 2486
% 4.07/0.97 % (2920)Time elapsed: 0.045 s
% 4.07/0.97 % (2920)Instructions burned: 119 (million)
% 4.07/0.97 % (2928)Instruction limit reached!
% 4.07/0.97 % (2928)------------------------------
% 4.07/0.97 % (2928)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/0.97 % (2928)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/0.97 % (2928)Termination reason: Time limit
% 4.07/0.97 % (2928)Termination phase: Saturation
% 4.07/0.97
% 4.07/0.97 % (2928)Memory used [KB]: 2728
% 4.07/0.97 % (2928)Time elapsed: 0.040 s
% 4.07/0.97 % (2928)Instructions burned: 128 (million)
% 4.37/0.98 % (2927)Instruction limit reached!
% 4.37/0.98 % (2927)------------------------------
% 4.37/0.98 % (2927)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.37/0.98 % (2927)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.37/0.98 % (2927)Termination reason: Time limit
% 4.37/0.98 % (2927)Termination phase: Saturation
% 4.37/0.98
% 4.37/0.98 % (2927)Memory used [KB]: 1712
% 4.37/0.98 % (2927)Time elapsed: 0.055 s
% 4.37/0.98 % (2927)Instructions burned: 216 (million)
% 4.37/1.00 % (2711)Running in auto input_syntax mode. Trying TPTP
% 4.37/1.00 % (2930)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=115:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2994ds/115Mi)
% 4.37/1.00 % (2711)Running in auto input_syntax mode. Trying TPTP
% 4.37/1.00 % (2931)dis+1011_5:2_to=lpo:sil=8000:tgt=ground:plsq=on:plsqr=65749,1048576:spb=goal:nwc=10.0:newcnf=on:i=335:rawr=on:av=off:nm=5:awrs=converge:awrsf=340:bsd=on:s2a=on:fdi=1_0 on theBenchmark for (2993ds/335Mi)
% 4.37/1.02 % (2711)Running in auto input_syntax mode. Trying TPTP
% 4.37/1.02 % (2937)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=484:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2993ds/484Mi)
% 4.37/1.03 % (2937)First to succeed.
% 4.37/1.03 % (2937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2711"
% 4.37/1.03 % (2711)Running in auto input_syntax mode. Trying TPTP
% 4.37/1.03 % (2937)Refutation found. Thanks to Tanya!
% 4.37/1.03 % SZS status Theorem for theBenchmark
% 4.37/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 4.37/1.03 % (2937)------------------------------
% 4.37/1.03 % (2937)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.37/1.03 % (2937)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.37/1.03 % (2937)Termination reason: Refutation
% 4.37/1.03
% 4.37/1.03 % (2937)Memory used [KB]: 1579
% 4.37/1.03 % (2937)Time elapsed: 0.012 s
% 4.37/1.03 % (2937)Instructions burned: 36 (million)
% 4.37/1.03 % (2937)------------------------------
% 4.37/1.03 % (2937)------------------------------
% 4.37/1.03 % (2711)Success in time 0.661 s
%------------------------------------------------------------------------------